In this work, we define \(\tilde{g}\)  as a piecewise polynomial. Particularly, we divide the domain \(\mathbb { R}\)  of the random variable \(\xi \)  (which for us is standard normally distributedThe two main reasons of \(\xi \)  being standard normal are the availability of such a distribution in most of the computing tools, and the “similarity” between a standard normally r.v. and (the logarithm of) \(A(S)\)  (see [1]} for more details).) in three regions. In each region, we define \(\tilde{g}\)  as a polynomial. In other words, given the partition of the real line:
\(\Omega _{-}\cup \Omega _{M}\cup \Omega _{+}:=(-\infty , -\bar{\xi }) \cup [-\bar{\xi }, \bar{\xi }] \cup (\bar{\xi }, +\infty ),\) 
